: The graph of the series given as ∑ n = 1 ∞ 2 n , ∑ n = 1 ∞ 2 n − 0.5 , ∑ n = 1 ∞ 4 n + 0.5 from the graphs given below of their terms and partial sums,

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The graph of the series given as ∑n=1∞2n,∑n=1∞2n−0.5,∑n=1∞4n+0.5 from the graphs given below of their terms and partial sums,

(b)

To determine

Which one is the p-series amongst ∑n=1∞2n,∑n=1∞2n−0.5,∑n=1∞4n+0.5 and if its diverging or converging.

(c)

To determine

The comparison of the magnitude of the series which are not p-series with the p-series among the series, ∑n=1∞2n,∑n=1∞2n−0.5,∑n=1∞4n+0.5 and if they are converging or diverging.

(d)

To determine

The relationship between magnitude of the terms and the partial sums of the series, ∑n=1∞2n,∑n=1∞2n−0.5,∑n=1∞4n+0.5.

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